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On the Road

Four vehicles travelled on a road with constant velocities. The car overtook the scooter at 12 o'clock, then met the bike at 14.00 and the motorcycle at 16.00. The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00. At what time did the bike and the scooter meet?

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Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

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More Parabolic Patterns

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

 

Here are some graphs of physical processes.
 

   
   
   
   


Can you suggest plausible processes that could have given rise to each graph?

Now click on the link below to see eight processes that give rise to the graphs.
Can you match each process to a graph?
 
PROCESSES



Can you suggest equations that could model each of these processes?

Now click on the link below to see eight equations.
Can you match each equation to the graphs and related processes?

EQUATIONS



Extension
Can you determine values for the constants A, B and C for each equation? For some, you will need to make some assumptions.